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Finding the Fourth Proportional to 23,512.32, 35,268.08 and 9,472

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Solution

The fourth proportional to 23,512.32, 35,268.08 and 9,472 is: 14,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.32 : 35,268.08 = 9,472 : x
  2. Step 2: Convert to fraction form
    23,512.32/35,268.08 = 9,472/x
  3. Step 3: Cross multiply
    23,512.32x = 35,268.08 × 9,472
  4. Step 4: Simplify right side
    23,512.32x = 334,059,253.76
  5. Step 5: Solve for x
    x = 334,059,253.76/23,512.32
  6. Step 6: Final answer
    x = 14,207.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.